Multiple choice

The angle between the minute hand and the hour hand of a clock when the time is $4.20$, is:

  1. ${0}^{o}$
  2. ${10}^{o}$
  3. ${5}^{o}$
  4. ${20}^{o}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 4:20, the minute hand is exactly on the 4 mark, which corresponds to 120 degrees from the 12 o'clock position. The hour hand, which moves at 0.5 degrees per minute, has moved 10 degrees past the 4 mark in the 20 minutes since 4:00. Therefore, the angle between the two hands is 10 degrees.

AI explanation

Using the clock angle formula, we find the difference between 11 divided by 2 multiplied by 20 and 6 multiplied by 20. This calculates to 110 minus 120, giving an absolute value of 10 degrees.

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